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Suppose a university wished to offer a certain course. The administration felt that the course might be more effective if taught with alternative teaching
Suppose a university wished to offer a certain course. The administration felt that the course might be more effective if taught with alternative teaching methods. Four different teaching approaches were tested. Students registering for this course were randomly assigned to one of four teaching methods. Furthermore, there were an equal number of students assigned to each teaching method, i.e. a balanced design. All students in the experiment were given the same final exam at the conclusion of the semester, which was scored out of 50 points. The score on the final exam is the measurement we will use to answer questions about the effectiveness of the four teaching methods. At the end of the semester, you as the data analyst must evaluate the final exam score results: Seminar 32 Mixed 32 36 35 31 27 20 15 32 23 xbars s^2 xbarbar C n. n Lecture 30 22 27 35 21 14 26 25 46 29.54 4 7 28 Online 28 41 33 40 34 33 37 35.14 20.48 Ho: mu1=mu2=mu3=mu4 H1: ALOI alpha=0.05 F 41 27 30 31 44 s^2_pooled s^2_xbar Fu F_df_num F_df_den Decision 25 27 46.33 3.61 39.20 20.20 Rejects or fails You will test at a = 0.05 whether differences among the four samples can be attributed to chance fluctuation or to actual differences in the teaching methods, i.e., differences the u's of the teaching methods. Put another way; Is teaching method a significant factor in determining final exam score. You will need to watch the tutorials to complete some of 1) What is the Factor variable here? Teaching Methods 1b) How many levels does the Factor take? What are they? 4 Lecture, Online, Seminar, Mixed 2) What is the dependent variable here? 3) Perform a One-Way ANOVA using Google Sheets as a fancy calculator. Organize, label, and show all your work on this spreadsheet highlighting important results and commenting throughout. You will need the F-table on Blackboard under "Statistical Tables". Do your best on labeling items that you need to calculate along the way as well as stating the hypothesis at the outset. Use my labeling convention as closely as you can. 4) Perform Tukey-Kramer Procedure to determine which groups, if any, are different. You will need the Q-table on Blackboard.
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